Math Problem Statement

The sum of three consecutive integers is

What are the​ integers?

Solution

Let's denote the three consecutive integers as nn, n+1n+1, and n+2n+2.

The sum of these integers is given as:

n+(n+1)+(n+2)=168168n + (n+1) + (n+2) = 168168

Simplifying the equation:

3n+3=1681683n + 3 = 168168

Subtract 3 from both sides:

3n=1681653n = 168165

Now, divide both sides by 3:

n=56055n = 56055

So, the three consecutive integers are:

56055,56056, and 5605756055, 56056, \text{ and } 56057

Would you like more details or have any questions?

Here are some related questions:

  1. What if the sum of three consecutive integers is a smaller number, like 168?
  2. How do you find three consecutive even integers whose sum is 168168?
  3. What are the three consecutive integers if their sum is 100,000?
  4. What is the difference between the smallest and largest of the three consecutive integers you found?
  5. How can you solve for four consecutive integers with a sum of 168168?

Tip: Always check your final answer by substituting the values back into the original equation to ensure they satisfy the given condition.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9